A proto-area family defines a bulk geometry only when it sews through a single boundary-length map, with a gauge-invariant two-jet criterion and BKM–Jacobi matching as necessary and sufficient conditions.
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Maximizing entanglement in the top-quark helicity space of Composite Higgs models selects symmetry structures that enforce a finite Higgs potential and relate left- and right-handed top sectors.
A single-band lattice model on the BTZ cylinder produces a curvature-dependent Harper equation whose spectra show sharpened butterfly fragmentation at weak curvature and suppressed magnetic response near larger horizons.
Lorentzian symmetries emerge from preserving linear entropy in qubits, yielding SL(2,C) invariants for spectral quantities and the Minkowski metric from singlet-state correlations.
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
Late-time linear growth of holographic TEE is governed by an interior critical surface Ac whose existence is guaranteed by NEC under Kasner asymptotics, with vacuum maximizing real growth and minimizing imaginary part.
Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.
The paper proposes a kinematic space for any subregion of vacuum AdS, whose geodesic 'PEE threads' uniformly cover the subregion and yield tensor-network models that reproduce Ryu-Takayanagi entropy and realize surface/state and generalized-wedge holography.
Modified entropy profiles from Barrow, Tsallis, Kaniadakis, logarithmic, and exponential entropies can serve as effective sources for traversable wormholes.
Evanescent quantum extremal surfaces, bounded in area but not generalized entropy, diagnose failures of spacetime emergence in holography.
The emergence of the cosmological arrow of time is identified with a confinement-deconfinement transition in a Z2 lattice gauge theory on LQG spin networks, with the deconfined phase corresponding to a CZX-type SPT phase.
The paper proposes that condensate competition in the 2d Gross-Neveu model generates an emergent AdS₃ bulk, a higher-spin tower, D1-branes, and linearized Einstein gravity with G₃ = ℓ_AdS/4πN².
Holographic RG flow induces gravity by evolving boundary conditions from rigid Dirichlet to mixed Dirichlet-Neumann, generating an Einstein-Hilbert term and evading the Weinberg-Witten theorem.
String entanglement entropy between folded strings in the sine-Liouville CFT, computed via worldsheet replica trick, accounts for black-hole thermal entropy, with the vertex-operator part matching exactly in the low-temperature large-D limit.
Minimal edge modes compatible with Chern-Simons topological invariance are proposed as quantum group particles, yielding a factorization of 3d gravity state space that matches proposals linking Bekenstein-Hawking entropy to topological entanglement entropy.
Coupling a colored particle to 2D Yang-Mills on a cylinder reduces the dynamics, for SU(N), to the singular Calogero-Sutherland model.
Genuine multi-entropy in heavy local quenches in 2D holographic CFTs is kinematically fixed to logarithms of rational functions of time, independent of heavy operator dimension, due to global saddle selection in the geodesic network.
Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matrix completion of enlarged type III algebras.
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
Gauss-Bonnet corrections to the complete volume proposal introduce a competition effect in static black holes while preserving momentum-governed growth rates and logarithmic scrambling times in dynamical Vaidya geometries.
Invariance of the SU(∞)-QGR action under variation of the parameter-space metric produces an Einstein-like energy-momentum constraint, and Hilbert-space fragmentation is argued to classically appear as inflation, reheating, and late-time acceleration.
A modified semiclassical holographic dictionary is used to construct an extended gravitational path integral that factorizes, reproduces the Page curve for entropy, and includes operators for baby universe states.
Field leakage into ER=EPR wormholes modifies hydrogen hyperfine splitting and may induce net charge, yielding constraints from existing precision data.
Δ^(3)_p is a non-negative signal detecting genuine tripartite entanglement, extended via the E_w = E_p conjecture to holographic systems in AdS3/CFT2.
citing papers explorer
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When does a state-dependent proto-area define a bulk geometry?
A proto-area family defines a bulk geometry only when it sews through a single boundary-length map, with a gauge-invariant two-jet criterion and BKM–Jacobi matching as necessary and sufficient conditions.
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Entanglement Maximization and Symmetry Selection in Composite Higgs Models
Maximizing entanglement in the top-quark helicity space of Composite Higgs models selects symmetry structures that enforce a finite Higgs potential and relate left- and right-handed top sectors.
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Hofstadter's Butterfly in AdS$_3$ Black Holes
A single-band lattice model on the BTZ cylinder produces a curvature-dependent Harper equation whose spectra show sharpened butterfly fragmentation at weak curvature and suppressed magnetic response near larger horizons.
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On Lorentzian symmetries of quantum information
Lorentzian symmetries emerge from preserving linear entropy in qubits, yielding SL(2,C) invariants for spectral quantities and the Minkowski metric from singlet-state correlations.
-
Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
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Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents
Late-time linear growth of holographic TEE is governed by an interior critical surface Ac whose existence is guaranteed by NEC under Kasner asymptotics, with vacuum maximizing real growth and minimizing imaginary part.
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Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories
Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.
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Holography and Kinematic Space for Gravitational Sub-regions in AdS
The paper proposes a kinematic space for any subregion of vacuum AdS, whose geodesic 'PEE threads' uniformly cover the subregion and yield tensor-network models that reproduce Ryu-Takayanagi entropy and realize surface/state and generalized-wedge holography.
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Traversable Wormholes Supported by Entropy-Inspired Effective Matter Sectors
Modified entropy profiles from Barrow, Tsallis, Kaniadakis, logarithmic, and exponential entropies can serve as effective sources for traversable wormholes.
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A Semiclassical Diagnostic for Spacetime Emergence
Evanescent quantum extremal surfaces, bounded in area but not generalized entropy, diagnose failures of spacetime emergence in holography.
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Gauging Time Reversal Symmetry in Quantum Gravity: Arrow of Time from a Confinement--Deconfinement Transition
The emergence of the cosmological arrow of time is identified with a confinement-deconfinement transition in a Z2 lattice gauge theory on LQG spin networks, with the deconfined phase corresponding to a CZX-type SPT phase.
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Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model
The paper proposes that condensate competition in the 2d Gross-Neveu model generates an emergent AdS₃ bulk, a higher-spin tower, D1-branes, and linearized Einstein gravity with G₃ = ℓ_AdS/4πN².
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GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared
Holographic RG flow induces gravity by evolving boundary conditions from rigid Dirichlet to mixed Dirichlet-Neumann, generating an Einstein-Hilbert term and evading the Weinberg-Witten theorem.
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Black Hole Entropy from String Entanglement
String entanglement entropy between folded strings in the sine-Liouville CFT, computed via worldsheet replica trick, accounts for black-hole thermal entropy, with the vertex-operator part matching exactly in the low-temperature large-D limit.
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Minimal Factorization of Chern-Simons Theory -- Gravitational Anyonic Edge Modes
Minimal edge modes compatible with Chern-Simons topological invariance are proposed as quantum group particles, yielding a factorization of 3d gravity state space that matches proposals linking Bekenstein-Hawking entropy to topological entanglement entropy.
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From 2D Yang-Mills to Calogero-Sutherland via a colored particle
Coupling a colored particle to 2D Yang-Mills on a cylinder reduces the dynamics, for SU(N), to the singular Calogero-Sutherland model.
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Multi-entropy in heavy local quenches
Genuine multi-entropy in heavy local quenches in 2D holographic CFTs is kinematically fixed to logarithms of rational functions of time, independent of heavy operator dimension, due to global saddle selection in the geodesic network.
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Spacetime from Operator Algebras
Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matrix completion of enlarged type III algebras.
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Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
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Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes
Gauss-Bonnet corrections to the complete volume proposal introduce a competition effect in static black holes while preserving momentum-governed growth rates and logarithmic scrambling times in dynamical Vaidya geometries.
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Energy-momentum and dark energy in $\boldsymbol{SU(\infty)}$-QGR quantum gravity
Invariance of the SU(∞)-QGR action under variation of the parameter-space metric produces an Einstein-like energy-momentum constraint, and Hilbert-space fragmentation is argued to classically appear as inflation, reheating, and late-time acceleration.
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How to have your wormholes and factorize, too
A modified semiclassical holographic dictionary is used to construct an extended gravitational path integral that factorizes, reproduces the Page curve for entropy, and includes operators for baby universe states.
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Testing ER = EPR with Hydrogen
Field leakage into ER=EPR wormholes modifies hydrogen hyperfine splitting and may induce net charge, yielding constraints from existing precision data.
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Tripartite Correlation Signal from Multipartite Entanglement of Purification
Δ^(3)_p is a non-negative signal detecting genuine tripartite entanglement, extended via the E_w = E_p conjecture to holographic systems in AdS3/CFT2.
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Quantum Simulation of Gauge Theories for Particle and Nuclear Physics
The talk summarizes the quantum simulation program for lattice gauge theories, covering target problems in dense matter, algorithmic strategies, recent progress, and remaining challenges.
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Lectures on entanglement entropy in field theory and holography
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.